KILLED proof of input_iJJGfq4aLV.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 3079 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CompletionProof [UPPER BOUND(ID), 0 ms] (18) CpxTypedWeightedCompleteTrs (19) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) CpxTrsToCdtProof [UPPER BOUND(ID), 44 ms] (22) CdtProblem (23) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CdtProblem (25) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms] (26) CdtProblem (27) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CdtProblem (29) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CdtProblem (31) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CdtProblem (35) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 61 ms] (44) CdtProblem (45) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (60) CdtProblem (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (66) CdtProblem (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 58 ms] (70) CdtProblem (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 12 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 138 ms] (76) CdtProblem (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 198 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 37 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 65 ms] (84) CdtProblem (85) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 14 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms] (90) CdtProblem (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 22 ms] (92) CdtProblem (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 87 ms] (96) CdtProblem (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 32 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 127 ms] (102) CdtProblem (103) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 26 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 16 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 194 ms] (108) CdtProblem (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 42 ms] (110) CdtProblem (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 53 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 173 ms] (114) CdtProblem (115) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 28 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 49 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 190 ms] (120) CdtProblem (121) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 39 ms] (122) CdtProblem (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 17 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 235 ms] (126) CdtProblem (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 41 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 256 ms] (130) CdtProblem (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 28 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 65 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 238 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 22 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 100 ms] (140) CdtProblem (141) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 43 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 236 ms] (144) CdtProblem (145) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 71 ms] (146) CdtProblem (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 25 ms] (148) CdtProblem (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 330 ms] (150) CdtProblem (151) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 62 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 78 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 327 ms] (156) CdtProblem (157) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 85 ms] (158) CdtProblem (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 85 ms] (160) CdtProblem (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 256 ms] (162) CdtProblem (163) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 63 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 75 ms] (166) CdtProblem (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 385 ms] (168) CdtProblem (169) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 85 ms] (170) CdtProblem (171) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 81 ms] (172) CdtProblem (173) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 356 ms] (174) CdtProblem (175) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 114 ms] (176) CdtProblem (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 56 ms] (178) CdtProblem (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 243 ms] (180) CdtProblem (181) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 120 ms] (182) CdtProblem (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 59 ms] (184) CdtProblem (185) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 333 ms] (186) CdtProblem (187) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 129 ms] (188) CdtProblem (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 74 ms] (190) CdtProblem (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 178 ms] (192) CdtProblem (193) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 87 ms] (194) CdtProblem (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 262 ms] (196) CdtProblem (197) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 81 ms] (198) CdtProblem (199) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 327 ms] (200) CdtProblem (201) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 84 ms] (202) CdtProblem ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__2ndspos(0, Z) -> rnil a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) a__2ndsneg(0, Z) -> rnil a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) a__pi(X) -> a__2ndspos(mark(X), a__from(0)) a__plus(0, Y) -> mark(Y) a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) a__times(0, Y) -> 0 a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) a__square(X) -> a__times(mark(X), mark(X)) mark(from(X)) -> a__from(mark(X)) mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) mark(pi(X)) -> a__pi(mark(X)) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) mark(square(X)) -> a__square(mark(X)) mark(0) -> 0 mark(s(X)) -> s(mark(X)) mark(posrecip(X)) -> posrecip(mark(X)) mark(negrecip(X)) -> negrecip(mark(X)) mark(nil) -> nil mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(rnil) -> rnil mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) a__from(X) -> from(X) a__2ndspos(X1, X2) -> 2ndspos(X1, X2) a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) a__pi(X) -> pi(X) a__plus(X1, X2) -> plus(X1, X2) a__times(X1, X2) -> times(X1, X2) a__square(X) -> square(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__2ndspos(0', Z) -> rnil a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) a__2ndsneg(0', Z) -> rnil a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) a__pi(X) -> a__2ndspos(mark(X), a__from(0')) a__plus(0', Y) -> mark(Y) a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) a__times(0', Y) -> 0' a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) a__square(X) -> a__times(mark(X), mark(X)) mark(from(X)) -> a__from(mark(X)) mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) mark(pi(X)) -> a__pi(mark(X)) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) mark(square(X)) -> a__square(mark(X)) mark(0') -> 0' mark(s(X)) -> s(mark(X)) mark(posrecip(X)) -> posrecip(mark(X)) mark(negrecip(X)) -> negrecip(mark(X)) mark(nil) -> nil mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(rnil) -> rnil mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) a__from(X) -> from(X) a__2ndspos(X1, X2) -> 2ndspos(X1, X2) a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) a__pi(X) -> pi(X) a__plus(X1, X2) -> plus(X1, X2) a__times(X1, X2) -> times(X1, X2) a__square(X) -> square(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (3) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (4) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__2ndspos(0, Z) -> rnil a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) a__2ndsneg(0, Z) -> rnil a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) a__pi(X) -> a__2ndspos(mark(X), a__from(0)) a__plus(0, Y) -> mark(Y) a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) a__times(0, Y) -> 0 a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) a__square(X) -> a__times(mark(X), mark(X)) mark(from(X)) -> a__from(mark(X)) mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) mark(pi(X)) -> a__pi(mark(X)) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) mark(square(X)) -> a__square(mark(X)) mark(0) -> 0 mark(s(X)) -> s(mark(X)) mark(posrecip(X)) -> posrecip(mark(X)) mark(negrecip(X)) -> negrecip(mark(X)) mark(nil) -> nil mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(rnil) -> rnil mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) a__from(X) -> from(X) a__2ndspos(X1, X2) -> 2ndspos(X1, X2) a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) a__pi(X) -> pi(X) a__plus(X1, X2) -> plus(X1, X2) a__times(X1, X2) -> times(X1, X2) a__square(X) -> square(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (5) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__2ndspos(0, Z) -> rnil [1] a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) [1] a__2ndsneg(0, Z) -> rnil [1] a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) [1] a__pi(X) -> a__2ndspos(mark(X), a__from(0)) [1] a__plus(0, Y) -> mark(Y) [1] a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) [1] a__times(0, Y) -> 0 [1] a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) [1] a__square(X) -> a__times(mark(X), mark(X)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) [1] mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) [1] mark(pi(X)) -> a__pi(mark(X)) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) [1] mark(square(X)) -> a__square(mark(X)) [1] mark(0) -> 0 [1] mark(s(X)) -> s(mark(X)) [1] mark(posrecip(X)) -> posrecip(mark(X)) [1] mark(negrecip(X)) -> negrecip(mark(X)) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(rnil) -> rnil [1] mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) [1] a__from(X) -> from(X) [1] a__2ndspos(X1, X2) -> 2ndspos(X1, X2) [1] a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) [1] a__pi(X) -> pi(X) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__times(X1, X2) -> times(X1, X2) [1] a__square(X) -> square(X) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__2ndspos(0, Z) -> rnil [1] a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) [1] a__2ndsneg(0, Z) -> rnil [1] a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) [1] a__pi(X) -> a__2ndspos(mark(X), a__from(0)) [1] a__plus(0, Y) -> mark(Y) [1] a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) [1] a__times(0, Y) -> 0 [1] a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) [1] a__square(X) -> a__times(mark(X), mark(X)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) [1] mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) [1] mark(pi(X)) -> a__pi(mark(X)) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) [1] mark(square(X)) -> a__square(mark(X)) [1] mark(0) -> 0 [1] mark(s(X)) -> s(mark(X)) [1] mark(posrecip(X)) -> posrecip(mark(X)) [1] mark(negrecip(X)) -> negrecip(mark(X)) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(rnil) -> rnil [1] mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) [1] a__from(X) -> from(X) [1] a__2ndspos(X1, X2) -> 2ndspos(X1, X2) [1] a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) [1] a__pi(X) -> pi(X) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__times(X1, X2) -> times(X1, X2) [1] a__square(X) -> square(X) [1] The TRS has the following type information: a__from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (9) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: mark_1 a__from_1 a__times_2 a__2ndsneg_2 a__square_1 a__2ndspos_2 a__plus_2 a__pi_1 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (10) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__2ndspos(0, Z) -> rnil [1] a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) [1] a__2ndsneg(0, Z) -> rnil [1] a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) [1] a__pi(X) -> a__2ndspos(mark(X), a__from(0)) [1] a__plus(0, Y) -> mark(Y) [1] a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) [1] a__times(0, Y) -> 0 [1] a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) [1] a__square(X) -> a__times(mark(X), mark(X)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) [1] mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) [1] mark(pi(X)) -> a__pi(mark(X)) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) [1] mark(square(X)) -> a__square(mark(X)) [1] mark(0) -> 0 [1] mark(s(X)) -> s(mark(X)) [1] mark(posrecip(X)) -> posrecip(mark(X)) [1] mark(negrecip(X)) -> negrecip(mark(X)) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(rnil) -> rnil [1] mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) [1] a__from(X) -> from(X) [1] a__2ndspos(X1, X2) -> 2ndspos(X1, X2) [1] a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) [1] a__pi(X) -> pi(X) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__times(X1, X2) -> times(X1, X2) [1] a__square(X) -> square(X) [1] The TRS has the following type information: a__from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (11) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (12) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__2ndspos(0, Z) -> rnil [1] a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) [1] a__2ndsneg(0, Z) -> rnil [1] a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) [1] a__pi(X) -> a__2ndspos(mark(X), a__from(0)) [1] a__plus(0, Y) -> mark(Y) [1] a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) [1] a__times(0, Y) -> 0 [1] a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) [1] a__square(from(X584)) -> a__times(a__from(mark(X584)), a__from(mark(X584))) [3] a__square(2ndspos(X1394, X2389)) -> a__times(a__2ndspos(mark(X1394), mark(X2389)), a__2ndspos(mark(X1394), mark(X2389))) [3] a__square(2ndsneg(X1395, X2390)) -> a__times(a__2ndsneg(mark(X1395), mark(X2390)), a__2ndsneg(mark(X1395), mark(X2390))) [3] a__square(pi(X585)) -> a__times(a__pi(mark(X585)), a__pi(mark(X585))) [3] a__square(plus(X1396, X2391)) -> a__times(a__plus(mark(X1396), mark(X2391)), a__plus(mark(X1396), mark(X2391))) [3] a__square(times(X1397, X2392)) -> a__times(a__times(mark(X1397), mark(X2392)), a__times(mark(X1397), mark(X2392))) [3] a__square(square(X586)) -> a__times(a__square(mark(X586)), a__square(mark(X586))) [3] a__square(0) -> a__times(0, 0) [3] a__square(s(X587)) -> a__times(s(mark(X587)), s(mark(X587))) [3] a__square(posrecip(X588)) -> a__times(posrecip(mark(X588)), posrecip(mark(X588))) [3] a__square(negrecip(X589)) -> a__times(negrecip(mark(X589)), negrecip(mark(X589))) [3] a__square(nil) -> a__times(nil, nil) [3] a__square(cons(X1398, X2393)) -> a__times(cons(mark(X1398), X2393), cons(mark(X1398), X2393)) [3] a__square(rnil) -> a__times(rnil, rnil) [3] a__square(rcons(X1399, X2394)) -> a__times(rcons(mark(X1399), mark(X2394)), rcons(mark(X1399), mark(X2394))) [3] mark(from(from(X590))) -> a__from(a__from(mark(X590))) [2] mark(from(2ndspos(X1400, X2395))) -> a__from(a__2ndspos(mark(X1400), mark(X2395))) [2] mark(from(2ndsneg(X1401, X2396))) -> a__from(a__2ndsneg(mark(X1401), mark(X2396))) [2] mark(from(pi(X591))) -> a__from(a__pi(mark(X591))) [2] mark(from(plus(X1402, X2397))) -> a__from(a__plus(mark(X1402), mark(X2397))) [2] mark(from(times(X1403, X2398))) -> a__from(a__times(mark(X1403), mark(X2398))) [2] mark(from(square(X592))) -> a__from(a__square(mark(X592))) [2] mark(from(0)) -> a__from(0) [2] mark(from(s(X593))) -> a__from(s(mark(X593))) [2] mark(from(posrecip(X594))) -> a__from(posrecip(mark(X594))) [2] mark(from(negrecip(X595))) -> a__from(negrecip(mark(X595))) [2] mark(from(nil)) -> a__from(nil) [2] mark(from(cons(X1404, X2399))) -> a__from(cons(mark(X1404), X2399)) [2] mark(from(rnil)) -> a__from(rnil) [2] mark(from(rcons(X1405, X2400))) -> a__from(rcons(mark(X1405), mark(X2400))) [2] mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) [1] mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) [1] mark(pi(from(X788))) -> a__pi(a__from(mark(X788))) [2] mark(pi(2ndspos(X1598, X2593))) -> a__pi(a__2ndspos(mark(X1598), mark(X2593))) [2] mark(pi(2ndsneg(X1599, X2594))) -> a__pi(a__2ndsneg(mark(X1599), mark(X2594))) [2] mark(pi(pi(X789))) -> a__pi(a__pi(mark(X789))) [2] mark(pi(plus(X1600, X2595))) -> a__pi(a__plus(mark(X1600), mark(X2595))) [2] mark(pi(times(X1601, X2596))) -> a__pi(a__times(mark(X1601), mark(X2596))) [2] mark(pi(square(X790))) -> a__pi(a__square(mark(X790))) [2] mark(pi(0)) -> a__pi(0) [2] mark(pi(s(X791))) -> a__pi(s(mark(X791))) [2] mark(pi(posrecip(X792))) -> a__pi(posrecip(mark(X792))) [2] mark(pi(negrecip(X793))) -> a__pi(negrecip(mark(X793))) [2] mark(pi(nil)) -> a__pi(nil) [2] mark(pi(cons(X1602, X2597))) -> a__pi(cons(mark(X1602), X2597)) [2] mark(pi(rnil)) -> a__pi(rnil) [2] mark(pi(rcons(X1603, X2598))) -> a__pi(rcons(mark(X1603), mark(X2598))) [2] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) [1] mark(square(from(X986))) -> a__square(a__from(mark(X986))) [2] mark(square(2ndspos(X1796, X2791))) -> a__square(a__2ndspos(mark(X1796), mark(X2791))) [2] mark(square(2ndsneg(X1797, X2792))) -> a__square(a__2ndsneg(mark(X1797), mark(X2792))) [2] mark(square(pi(X987))) -> a__square(a__pi(mark(X987))) [2] mark(square(plus(X1798, X2793))) -> a__square(a__plus(mark(X1798), mark(X2793))) [2] mark(square(times(X1799, X2794))) -> a__square(a__times(mark(X1799), mark(X2794))) [2] mark(square(square(X988))) -> a__square(a__square(mark(X988))) [2] mark(square(0)) -> a__square(0) [2] mark(square(s(X989))) -> a__square(s(mark(X989))) [2] mark(square(posrecip(X990))) -> a__square(posrecip(mark(X990))) [2] mark(square(negrecip(X991))) -> a__square(negrecip(mark(X991))) [2] mark(square(nil)) -> a__square(nil) [2] mark(square(cons(X1800, X2795))) -> a__square(cons(mark(X1800), X2795)) [2] mark(square(rnil)) -> a__square(rnil) [2] mark(square(rcons(X1801, X2796))) -> a__square(rcons(mark(X1801), mark(X2796))) [2] mark(0) -> 0 [1] mark(s(X)) -> s(mark(X)) [1] mark(posrecip(X)) -> posrecip(mark(X)) [1] mark(negrecip(X)) -> negrecip(mark(X)) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(rnil) -> rnil [1] mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) [1] a__from(X) -> from(X) [1] a__2ndspos(X1, X2) -> 2ndspos(X1, X2) [1] a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) [1] a__pi(X) -> pi(X) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__times(X1, X2) -> times(X1, X2) [1] a__square(X) -> square(X) [1] The TRS has the following type information: a__from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (13) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 rnil => 2 nil => 1 ---------------------------------------- (14) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> 2 :|: Z >= 0, z' = Z, z = 0 a__2ndsneg(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__2ndsneg(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndspos(mark(N), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, z = 1 + N, X >= 0, N >= 0 a__2ndspos(z, z') -{ 1 }-> 2 :|: Z >= 0, z' = Z, z = 0 a__2ndspos(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__2ndspos(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndsneg(mark(N), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, z = 1 + N, X >= 0, N >= 0 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X a__pi(z) -{ 1 }-> a__2ndspos(mark(X), a__from(0)) :|: X >= 0, z = X a__pi(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__plus(z, z') -{ 1 }-> mark(Y) :|: z' = Y, Y >= 0, z = 0 a__plus(z, z') -{ 1 }-> 1 + a__plus(mark(X), mark(Y)) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__plus(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__square(z) -{ 3 }-> a__times(a__times(mark(X1397), mark(X2392)), a__times(mark(X1397), mark(X2392))) :|: z = 1 + X1397 + X2392, X1397 >= 0, X2392 >= 0 a__square(z) -{ 3 }-> a__times(a__square(mark(X586)), a__square(mark(X586))) :|: X586 >= 0, z = 1 + X586 a__square(z) -{ 3 }-> a__times(a__plus(mark(X1396), mark(X2391)), a__plus(mark(X1396), mark(X2391))) :|: X1396 >= 0, X2391 >= 0, z = 1 + X1396 + X2391 a__square(z) -{ 3 }-> a__times(a__pi(mark(X585)), a__pi(mark(X585))) :|: z = 1 + X585, X585 >= 0 a__square(z) -{ 3 }-> a__times(a__from(mark(X584)), a__from(mark(X584))) :|: z = 1 + X584, X584 >= 0 a__square(z) -{ 3 }-> a__times(a__2ndspos(mark(X1394), mark(X2389)), a__2ndspos(mark(X1394), mark(X2389))) :|: z = 1 + X1394 + X2389, X1394 >= 0, X2389 >= 0 a__square(z) -{ 3 }-> a__times(a__2ndsneg(mark(X1395), mark(X2390)), a__2ndsneg(mark(X1395), mark(X2390))) :|: X2390 >= 0, z = 1 + X1395 + X2390, X1395 >= 0 a__square(z) -{ 3 }-> a__times(2, 2) :|: z = 2 a__square(z) -{ 3 }-> a__times(1, 1) :|: z = 1 a__square(z) -{ 3 }-> a__times(0, 0) :|: z = 0 a__square(z) -{ 3 }-> a__times(1 + mark(X587), 1 + mark(X587)) :|: X587 >= 0, z = 1 + X587 a__square(z) -{ 3 }-> a__times(1 + mark(X588), 1 + mark(X588)) :|: X588 >= 0, z = 1 + X588 a__square(z) -{ 3 }-> a__times(1 + mark(X589), 1 + mark(X589)) :|: X589 >= 0, z = 1 + X589 a__square(z) -{ 3 }-> a__times(1 + mark(X1398) + X2393, 1 + mark(X1398) + X2393) :|: z = 1 + X1398 + X2393, X1398 >= 0, X2393 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1399) + mark(X2394), 1 + mark(X1399) + mark(X2394)) :|: X2394 >= 0, z = 1 + X1399 + X2394, X1399 >= 0 a__square(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__times(z, z') -{ 1 }-> a__plus(mark(Y), a__times(mark(X), mark(Y))) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__times(z, z') -{ 1 }-> 0 :|: z' = Y, Y >= 0, z = 0 a__times(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__times(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__square(a__times(mark(X1799), mark(X2794))) :|: X2794 >= 0, z = 1 + (1 + X1799 + X2794), X1799 >= 0 mark(z) -{ 2 }-> a__square(a__square(mark(X988))) :|: z = 1 + (1 + X988), X988 >= 0 mark(z) -{ 2 }-> a__square(a__plus(mark(X1798), mark(X2793))) :|: z = 1 + (1 + X1798 + X2793), X2793 >= 0, X1798 >= 0 mark(z) -{ 2 }-> a__square(a__pi(mark(X987))) :|: z = 1 + (1 + X987), X987 >= 0 mark(z) -{ 2 }-> a__square(a__from(mark(X986))) :|: X986 >= 0, z = 1 + (1 + X986) mark(z) -{ 2 }-> a__square(a__2ndspos(mark(X1796), mark(X2791))) :|: X1796 >= 0, X2791 >= 0, z = 1 + (1 + X1796 + X2791) mark(z) -{ 2 }-> a__square(a__2ndsneg(mark(X1797), mark(X2792))) :|: X1797 >= 0, z = 1 + (1 + X1797 + X2792), X2792 >= 0 mark(z) -{ 2 }-> a__square(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__square(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__square(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__square(1 + mark(X989)) :|: z = 1 + (1 + X989), X989 >= 0 mark(z) -{ 2 }-> a__square(1 + mark(X990)) :|: z = 1 + (1 + X990), X990 >= 0 mark(z) -{ 2 }-> a__square(1 + mark(X991)) :|: X991 >= 0, z = 1 + (1 + X991) mark(z) -{ 2 }-> a__square(1 + mark(X1800) + X2795) :|: X1800 >= 0, z = 1 + (1 + X1800 + X2795), X2795 >= 0 mark(z) -{ 2 }-> a__square(1 + mark(X1801) + mark(X2796)) :|: X1801 >= 0, X2796 >= 0, z = 1 + (1 + X1801 + X2796) mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__pi(a__times(mark(X1601), mark(X2596))) :|: X2596 >= 0, X1601 >= 0, z = 1 + (1 + X1601 + X2596) mark(z) -{ 2 }-> a__pi(a__square(mark(X790))) :|: z = 1 + (1 + X790), X790 >= 0 mark(z) -{ 2 }-> a__pi(a__plus(mark(X1600), mark(X2595))) :|: z = 1 + (1 + X1600 + X2595), X1600 >= 0, X2595 >= 0 mark(z) -{ 2 }-> a__pi(a__pi(mark(X789))) :|: z = 1 + (1 + X789), X789 >= 0 mark(z) -{ 2 }-> a__pi(a__from(mark(X788))) :|: X788 >= 0, z = 1 + (1 + X788) mark(z) -{ 2 }-> a__pi(a__2ndspos(mark(X1598), mark(X2593))) :|: X1598 >= 0, z = 1 + (1 + X1598 + X2593), X2593 >= 0 mark(z) -{ 2 }-> a__pi(a__2ndsneg(mark(X1599), mark(X2594))) :|: X1599 >= 0, X2594 >= 0, z = 1 + (1 + X1599 + X2594) mark(z) -{ 2 }-> a__pi(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__pi(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__pi(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__pi(1 + mark(X791)) :|: X791 >= 0, z = 1 + (1 + X791) mark(z) -{ 2 }-> a__pi(1 + mark(X792)) :|: z = 1 + (1 + X792), X792 >= 0 mark(z) -{ 2 }-> a__pi(1 + mark(X793)) :|: z = 1 + (1 + X793), X793 >= 0 mark(z) -{ 2 }-> a__pi(1 + mark(X1602) + X2597) :|: X1602 >= 0, X2597 >= 0, z = 1 + (1 + X1602 + X2597) mark(z) -{ 2 }-> a__pi(1 + mark(X1603) + mark(X2598)) :|: X1603 >= 0, z = 1 + (1 + X1603 + X2598), X2598 >= 0 mark(z) -{ 2 }-> a__from(a__times(mark(X1403), mark(X2398))) :|: X2398 >= 0, X1403 >= 0, z = 1 + (1 + X1403 + X2398) mark(z) -{ 2 }-> a__from(a__square(mark(X592))) :|: z = 1 + (1 + X592), X592 >= 0 mark(z) -{ 2 }-> a__from(a__plus(mark(X1402), mark(X2397))) :|: z = 1 + (1 + X1402 + X2397), X1402 >= 0, X2397 >= 0 mark(z) -{ 2 }-> a__from(a__pi(mark(X591))) :|: z = 1 + (1 + X591), X591 >= 0 mark(z) -{ 2 }-> a__from(a__from(mark(X590))) :|: X590 >= 0, z = 1 + (1 + X590) mark(z) -{ 2 }-> a__from(a__2ndspos(mark(X1400), mark(X2395))) :|: X2395 >= 0, z = 1 + (1 + X1400 + X2395), X1400 >= 0 mark(z) -{ 2 }-> a__from(a__2ndsneg(mark(X1401), mark(X2396))) :|: X1401 >= 0, X2396 >= 0, z = 1 + (1 + X1401 + X2396) mark(z) -{ 2 }-> a__from(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__from(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__from(1 + mark(X593)) :|: X593 >= 0, z = 1 + (1 + X593) mark(z) -{ 2 }-> a__from(1 + mark(X594)) :|: z = 1 + (1 + X594), X594 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X595)) :|: z = 1 + (1 + X595), X595 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1404) + X2399) :|: X2399 >= 0, X1404 >= 0, z = 1 + (1 + X1404 + X2399) mark(z) -{ 2 }-> a__from(1 + mark(X1405) + mark(X2400)) :|: X1405 >= 0, z = 1 + (1 + X1405 + X2400), X2400 >= 0 mark(z) -{ 1 }-> a__2ndspos(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__2ndsneg(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (15) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (16) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> 2 :|: z' >= 0, z = 0 a__2ndsneg(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__2ndsneg(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndspos(mark(z - 1), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, X >= 0, z - 1 >= 0 a__2ndspos(z, z') -{ 1 }-> 2 :|: z' >= 0, z = 0 a__2ndspos(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__2ndspos(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndsneg(mark(z - 1), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, X >= 0, z - 1 >= 0 a__from(z) -{ 1 }-> 1 + z :|: z >= 0 a__from(z) -{ 1 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0 a__pi(z) -{ 1 }-> a__2ndspos(mark(z), a__from(0)) :|: z >= 0 a__pi(z) -{ 1 }-> 1 + z :|: z >= 0 a__plus(z, z') -{ 1 }-> mark(z') :|: z' >= 0, z = 0 a__plus(z, z') -{ 1 }-> 1 + a__plus(mark(z - 1), mark(z')) :|: z' >= 0, z - 1 >= 0 a__plus(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__square(z) -{ 3 }-> a__times(a__times(mark(X1397), mark(X2392)), a__times(mark(X1397), mark(X2392))) :|: z = 1 + X1397 + X2392, X1397 >= 0, X2392 >= 0 a__square(z) -{ 3 }-> a__times(a__square(mark(z - 1)), a__square(mark(z - 1))) :|: z - 1 >= 0 a__square(z) -{ 3 }-> a__times(a__plus(mark(X1396), mark(X2391)), a__plus(mark(X1396), mark(X2391))) :|: X1396 >= 0, X2391 >= 0, z = 1 + X1396 + X2391 a__square(z) -{ 3 }-> a__times(a__pi(mark(z - 1)), a__pi(mark(z - 1))) :|: z - 1 >= 0 a__square(z) -{ 3 }-> a__times(a__from(mark(z - 1)), a__from(mark(z - 1))) :|: z - 1 >= 0 a__square(z) -{ 3 }-> a__times(a__2ndspos(mark(X1394), mark(X2389)), a__2ndspos(mark(X1394), mark(X2389))) :|: z = 1 + X1394 + X2389, X1394 >= 0, X2389 >= 0 a__square(z) -{ 3 }-> a__times(a__2ndsneg(mark(X1395), mark(X2390)), a__2ndsneg(mark(X1395), mark(X2390))) :|: X2390 >= 0, z = 1 + X1395 + X2390, X1395 >= 0 a__square(z) -{ 3 }-> a__times(2, 2) :|: z = 2 a__square(z) -{ 3 }-> a__times(1, 1) :|: z = 1 a__square(z) -{ 3 }-> a__times(0, 0) :|: z = 0 a__square(z) -{ 3 }-> a__times(1 + mark(z - 1), 1 + mark(z - 1)) :|: z - 1 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1398) + X2393, 1 + mark(X1398) + X2393) :|: z = 1 + X1398 + X2393, X1398 >= 0, X2393 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1399) + mark(X2394), 1 + mark(X1399) + mark(X2394)) :|: X2394 >= 0, z = 1 + X1399 + X2394, X1399 >= 0 a__square(z) -{ 1 }-> 1 + z :|: z >= 0 a__times(z, z') -{ 1 }-> a__plus(mark(z'), a__times(mark(z - 1), mark(z'))) :|: z' >= 0, z - 1 >= 0 a__times(z, z') -{ 1 }-> 0 :|: z' >= 0, z = 0 a__times(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 mark(z) -{ 1 }-> a__times(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__square(a__times(mark(X1799), mark(X2794))) :|: X2794 >= 0, z = 1 + (1 + X1799 + X2794), X1799 >= 0 mark(z) -{ 2 }-> a__square(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__square(a__plus(mark(X1798), mark(X2793))) :|: z = 1 + (1 + X1798 + X2793), X2793 >= 0, X1798 >= 0 mark(z) -{ 2 }-> a__square(a__pi(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__square(a__from(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__square(a__2ndspos(mark(X1796), mark(X2791))) :|: X1796 >= 0, X2791 >= 0, z = 1 + (1 + X1796 + X2791) mark(z) -{ 2 }-> a__square(a__2ndsneg(mark(X1797), mark(X2792))) :|: X1797 >= 0, z = 1 + (1 + X1797 + X2792), X2792 >= 0 mark(z) -{ 2 }-> a__square(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__square(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__square(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__square(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__square(1 + mark(X1800) + X2795) :|: X1800 >= 0, z = 1 + (1 + X1800 + X2795), X2795 >= 0 mark(z) -{ 2 }-> a__square(1 + mark(X1801) + mark(X2796)) :|: X1801 >= 0, X2796 >= 0, z = 1 + (1 + X1801 + X2796) mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__pi(a__times(mark(X1601), mark(X2596))) :|: X2596 >= 0, X1601 >= 0, z = 1 + (1 + X1601 + X2596) mark(z) -{ 2 }-> a__pi(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__pi(a__plus(mark(X1600), mark(X2595))) :|: z = 1 + (1 + X1600 + X2595), X1600 >= 0, X2595 >= 0 mark(z) -{ 2 }-> a__pi(a__pi(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__pi(a__from(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__pi(a__2ndspos(mark(X1598), mark(X2593))) :|: X1598 >= 0, z = 1 + (1 + X1598 + X2593), X2593 >= 0 mark(z) -{ 2 }-> a__pi(a__2ndsneg(mark(X1599), mark(X2594))) :|: X1599 >= 0, X2594 >= 0, z = 1 + (1 + X1599 + X2594) mark(z) -{ 2 }-> a__pi(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__pi(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__pi(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__pi(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__pi(1 + mark(X1602) + X2597) :|: X1602 >= 0, X2597 >= 0, z = 1 + (1 + X1602 + X2597) mark(z) -{ 2 }-> a__pi(1 + mark(X1603) + mark(X2598)) :|: X1603 >= 0, z = 1 + (1 + X1603 + X2598), X2598 >= 0 mark(z) -{ 2 }-> a__from(a__times(mark(X1403), mark(X2398))) :|: X2398 >= 0, X1403 >= 0, z = 1 + (1 + X1403 + X2398) mark(z) -{ 2 }-> a__from(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(a__plus(mark(X1402), mark(X2397))) :|: z = 1 + (1 + X1402 + X2397), X1402 >= 0, X2397 >= 0 mark(z) -{ 2 }-> a__from(a__pi(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(a__2ndspos(mark(X1400), mark(X2395))) :|: X2395 >= 0, z = 1 + (1 + X1400 + X2395), X1400 >= 0 mark(z) -{ 2 }-> a__from(a__2ndsneg(mark(X1401), mark(X2396))) :|: X1401 >= 0, X2396 >= 0, z = 1 + (1 + X1401 + X2396) mark(z) -{ 2 }-> a__from(2) :|: z = 1 + 2 mark(z) -{ 2 }-> a__from(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__from(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1404) + X2399) :|: X2399 >= 0, X1404 >= 0, z = 1 + (1 + X1404 + X2399) mark(z) -{ 2 }-> a__from(1 + mark(X1405) + mark(X2400)) :|: X1405 >= 0, z = 1 + (1 + X1405 + X2400), X2400 >= 0 mark(z) -{ 1 }-> a__2ndspos(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__2ndsneg(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (17) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: none And the following fresh constants: none ---------------------------------------- (18) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__2ndspos(0, Z) -> rnil [1] a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) [1] a__2ndsneg(0, Z) -> rnil [1] a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) [1] a__pi(X) -> a__2ndspos(mark(X), a__from(0)) [1] a__plus(0, Y) -> mark(Y) [1] a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) [1] a__times(0, Y) -> 0 [1] a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) [1] a__square(X) -> a__times(mark(X), mark(X)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) [1] mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) [1] mark(pi(X)) -> a__pi(mark(X)) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) [1] mark(square(X)) -> a__square(mark(X)) [1] mark(0) -> 0 [1] mark(s(X)) -> s(mark(X)) [1] mark(posrecip(X)) -> posrecip(mark(X)) [1] mark(negrecip(X)) -> negrecip(mark(X)) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(rnil) -> rnil [1] mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) [1] a__from(X) -> from(X) [1] a__2ndspos(X1, X2) -> 2ndspos(X1, X2) [1] a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) [1] a__pi(X) -> pi(X) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__times(X1, X2) -> times(X1, X2) [1] a__square(X) -> square(X) [1] The TRS has the following type information: a__from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (19) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 rnil => 2 nil => 1 ---------------------------------------- (20) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> 2 :|: Z >= 0, z' = Z, z = 0 a__2ndsneg(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__2ndsneg(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndspos(mark(N), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, z = 1 + N, X >= 0, N >= 0 a__2ndspos(z, z') -{ 1 }-> 2 :|: Z >= 0, z' = Z, z = 0 a__2ndspos(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__2ndspos(z, z') -{ 1 }-> 1 + (1 + mark(Y)) + a__2ndsneg(mark(N), mark(Z)) :|: Z >= 0, z' = 1 + X + (1 + Y + Z), Y >= 0, z = 1 + N, X >= 0, N >= 0 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X a__pi(z) -{ 1 }-> a__2ndspos(mark(X), a__from(0)) :|: X >= 0, z = X a__pi(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__plus(z, z') -{ 1 }-> mark(Y) :|: z' = Y, Y >= 0, z = 0 a__plus(z, z') -{ 1 }-> 1 + a__plus(mark(X), mark(Y)) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__plus(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__square(z) -{ 1 }-> a__times(mark(X), mark(X)) :|: X >= 0, z = X a__square(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__times(z, z') -{ 1 }-> a__plus(mark(Y), a__times(mark(X), mark(Y))) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__times(z, z') -{ 1 }-> 0 :|: z' = Y, Y >= 0, z = 0 a__times(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__times(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__square(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__pi(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__from(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__2ndspos(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__2ndsneg(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (21) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (22) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0, z0) -> c2 A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c4(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c6 A__2NDSNEG(0, z0) -> c7 A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c11 A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c14 A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c18 A__TIMES(0, z0) -> c19 A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c23 A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c26 MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c38 MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(nil) -> c42 MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rnil) -> c44 MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0, z0) -> c2 A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c4(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c6 A__2NDSNEG(0, z0) -> c7 A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c11 A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c14 A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c18 A__TIMES(0, z0) -> c19 A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c23 A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c26 MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c38 MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(nil) -> c42 MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rnil) -> c44 MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c1, c2, c3_1, c4_2, c5_2, c6, c7, c8_1, c9_2, c10_2, c11, c12_2, c13_2, c14, c15_1, c16_2, c17_2, c18, c19, c20_2, c21_3, c22_3, c23, c24_2, c25_2, c26, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38, c39_1, c40_1, c41_1, c42, c43_1, c44, c45_1, c46_1 ---------------------------------------- (23) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 13 trailing nodes: A__2NDSNEG(z0, z1) -> c11 A__2NDSNEG(0, z0) -> c7 MARK(0) -> c38 MARK(rnil) -> c44 MARK(nil) -> c42 A__TIMES(z0, z1) -> c23 A__PLUS(z0, z1) -> c18 A__SQUARE(z0) -> c26 A__FROM(z0) -> c1 A__2NDSPOS(0, z0) -> c2 A__2NDSPOS(z0, z1) -> c6 A__TIMES(0, z0) -> c19 A__PI(z0) -> c14 ---------------------------------------- (24) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c4(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c4(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c4_2, c5_2, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1 ---------------------------------------- (25) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c4(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) ---------------------------------------- (26) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c5_2, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2 ---------------------------------------- (27) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(nil, mark(x3)), MARK(nil)) ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c5_2, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2 ---------------------------------------- (29) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (30) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c5_2, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1 ---------------------------------------- (31) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c5(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c5(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c5(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c5(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) ---------------------------------------- (32) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c5(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c5(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c5(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c5(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c5(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c5(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2 ---------------------------------------- (33) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c5(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c5(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c5(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) ---------------------------------------- (34) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2 ---------------------------------------- (35) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c9_2, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1 ---------------------------------------- (37) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c9(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) by A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2 ---------------------------------------- (39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(0, mark(x3)), MARK(0)) ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2 ---------------------------------------- (41) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c10_2, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1 ---------------------------------------- (43) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c10(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) by A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c10(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c10(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c10(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c10(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c10(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c10(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c10(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c10(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c10(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2 ---------------------------------------- (45) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c10(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c10(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c10(A__2NDSPOS(mark(x0), 0), MARK(0)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2 ---------------------------------------- (47) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c12_2, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PI(z0) -> c12(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) by A__PI(x0) -> c12(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c12(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c12(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c12(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c12(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(rnil) -> c12(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c12(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), MARK(rcons(z0, z1))) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c12(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c12(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c12(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c12(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(rnil) -> c12(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c12(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c12(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c12(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c12(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c12(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(rnil) -> c12(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c12(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2 ---------------------------------------- (51) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__PI(nil) -> c12(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(rnil) -> c12(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(0) -> c12(A__2NDSPOS(0, a__from(0)), MARK(0)) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c12(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c12(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c12(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c3_1, c8_1, c13_2, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1 ---------------------------------------- (55) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PI(z0) -> c13(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) by A__PI(x0) -> c13(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c13(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c13(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c13(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(rnil) -> c13(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(x0) -> c13(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c13(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c13(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c13(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(rnil) -> c13(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(x0) -> c13(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c13(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c13(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c13(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(rnil) -> c13(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2 ---------------------------------------- (57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c16_2, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1 ---------------------------------------- (59) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PLUS(s(z0), z1) -> c16(A__PLUS(mark(z0), mark(z1)), MARK(z0)) by A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c16(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c16(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c16(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(rnil), x1) -> c16(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c16(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c16(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c16(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c16(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(rnil), x1) -> c16(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c16(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c16(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c16(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c16(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(rnil), x1) -> c16(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c16(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2 ---------------------------------------- (61) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__PLUS(s(rnil), x1) -> c16(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(nil), x1) -> c16(A__PLUS(nil, mark(x1)), MARK(nil)) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c16(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c16(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) 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MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c17_2, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1 ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PLUS(s(z0), z1) -> c17(A__PLUS(mark(z0), mark(z1)), MARK(z1)) by A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c17(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c17(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c17(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c17(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c17(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c17(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c17(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c17(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c17(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2 ---------------------------------------- (67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> 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mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) 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A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 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cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c20_2, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1 ---------------------------------------- (69) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c20(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) by A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), 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a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2 ---------------------------------------- (71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__TIMES(s(x0), nil) -> c20(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), rnil) -> c20(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> 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c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c21_3, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c21(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) by A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> 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A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> 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mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) 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a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3 ---------------------------------------- (77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) 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A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), 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mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c22_3, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2 ---------------------------------------- (79) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c22(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) by A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c3_1, c8_1, c15_1, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), 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c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c3_1, c8_1, c15_1, c24_2, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SQUARE(z0) -> c24(A__TIMES(mark(z0), mark(z0)), MARK(z0)) by A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c3_1, c8_1, c15_1, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2 ---------------------------------------- (85) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SQUARE(nil) -> c24(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(0) -> c24(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(rnil) -> c24(A__TIMES(rnil, mark(rnil)), MARK(rnil)) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) 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A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), 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c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> 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a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c3_1, c8_1, c15_1, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 7 trailing tuple parts ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) 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A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), 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A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c3_1, c8_1, c15_1, c25_2, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SQUARE(z0) -> c25(A__TIMES(mark(z0), mark(z0)), MARK(z0)) by A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> 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A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2 ---------------------------------------- (91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SQUARE(nil) -> c25(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(0) -> c25(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(rnil) -> c25(A__TIMES(rnil, mark(rnil)), MARK(rnil)) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> 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MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, 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mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), 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x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2 ---------------------------------------- (93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 7 trailing tuple parts ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) 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A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> 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c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c28_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndspos(z0, z1)) -> c28(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) by MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c28(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c28(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c28(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c28(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c28(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(rnil, x1)) -> c28(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) 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x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, 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c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) 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A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c28(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c28(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c28(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c28(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c28(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(rnil, x1)) -> c28(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) 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A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> 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c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c28(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c28(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c28(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c28(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c28(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(rnil, x1)) -> c28(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2 ---------------------------------------- (97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndspos(nil, x1)) -> c28(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(0, x1)) -> c28(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(rnil, x1)) -> c28(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> 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mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) 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A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 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cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c28(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c28(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c28(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c28(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2 ---------------------------------------- (99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) 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MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c29_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1 ---------------------------------------- (101) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndspos(z0, z1)) -> c29(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) by MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c29(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c29(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c29(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, rnil)) -> c29(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c29(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c29(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c29(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c29(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, rnil)) -> c29(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c29(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) 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c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> 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c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), 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A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c29(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c29(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c29(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, rnil)) -> c29(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c29(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2 ---------------------------------------- (103) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndspos(x0, nil)) -> c29(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, 0)) -> c29(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, rnil)) -> c29(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) 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x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), 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A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, 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a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, s(z0))) -> c29(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c29(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) 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MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, s(z0))) -> c29(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c29(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), 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z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c30_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndsneg(z0, z1)) -> c30(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) by MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c30(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c30(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c30(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c30(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c30(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c30(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c30(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c30(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c30(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c30(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c30(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c30(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c30(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c30(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c30(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2 ---------------------------------------- (109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndsneg(0, x1)) -> c30(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(rnil, x1)) -> c30(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(nil, x1)) -> c30(A__2NDSNEG(nil, mark(x1)), MARK(nil)) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c30(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c30(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c30(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c30(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2 ---------------------------------------- (111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 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cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1 ---------------------------------------- (113) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndsneg(z0, z1)) -> c31(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) by MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c31(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c31(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c31(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c31(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c31(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c31(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c31(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c31(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c31(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c31(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c31(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c31(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c31(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c31(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c31(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2 ---------------------------------------- (115) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndsneg(x0, 0)) -> c31(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, rnil)) -> c31(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, nil)) -> c31(A__2NDSNEG(mark(x0), nil), MARK(nil)) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, s(z0))) -> c31(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c31(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> 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A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> 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A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, 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cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) 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c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, s(z0))) -> c31(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c31(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2 ---------------------------------------- (117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c33(A__PLUS(mark(z0), mark(z1)), MARK(z0)) by MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c33(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c33(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c33(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(rnil, x1)) -> c33(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c33(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c33(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c33(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c33(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(rnil, x1)) -> c33(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c33(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c33(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c33(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c33(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(rnil, x1)) -> c33(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c33(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2 ---------------------------------------- (121) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(plus(rnil, x1)) -> c33(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(nil, x1)) -> c33(A__PLUS(nil, mark(x1)), MARK(nil)) ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c33(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> 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A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c33(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2 ---------------------------------------- (123) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) 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mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c34_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1 ---------------------------------------- (125) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c34(A__PLUS(mark(z0), mark(z1)), MARK(z1)) by MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c34(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c34(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c34(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), 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c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c34(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c34(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c34(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c34(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c34(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c34(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2 ---------------------------------------- (127) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c35_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1 ---------------------------------------- (129) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(times(z0, z1)) -> c35(A__TIMES(mark(z0), mark(z1)), MARK(z0)) by MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c35(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c35(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c35(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(rnil, x1)) -> c35(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c35(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c35(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c35(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c35(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(rnil, x1)) -> c35(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c35(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c35(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c35(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c35(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(rnil, x1)) -> c35(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c35(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2 ---------------------------------------- (131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(times(0, x1)) -> c35(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(nil, x1)) -> c35(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(rnil, x1)) -> c35(A__TIMES(rnil, mark(x1)), MARK(rnil)) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, 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MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) 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MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> 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mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c36_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(times(z0, z1)) -> c36(A__TIMES(mark(z0), mark(z1)), MARK(z1)) by MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c36(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c36(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c36(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> 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c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), 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mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), 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c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c36(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c36(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c36(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c36(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c36(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c36(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 10 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), 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mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c37_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(square(z0)) -> c37(A__SQUARE(mark(z0)), MARK(z0)) by MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c37(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c37(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rnil)) -> c37(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c37(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c37(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rnil)) -> c37(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 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a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> 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a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c37(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c37(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rnil)) -> c37(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2 ---------------------------------------- (141) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> 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s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) 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MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(mark(x3)), from(s(mark(x3))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), from(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(0, a__from(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__from(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__from(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(nil, a__from(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__from(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rnil, a__from(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__from(mark(x3))), MARK(rcons(z0, z1))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(mark(x3)), from(s(mark(x3))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), from(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(0, a__from(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__from(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__from(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(nil, a__from(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__from(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rnil, a__from(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__from(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(mark(x3)), from(s(mark(x3))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), from(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(0, a__from(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__from(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__from(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(nil, a__from(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__from(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rnil, a__from(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__from(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (145) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(nil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(nil, a__from(mark(x3))), MARK(nil)) A__2NDSPOS(s(0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(0, a__from(mark(x3))), MARK(0)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rnil, a__from(mark(x3))), MARK(rnil)) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> 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MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), 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a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), 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A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), 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c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__from(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__from(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__from(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__from(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), 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c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(mark(x3)), from(s(mark(x3))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(mark(x0), from(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__from(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__from(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__from(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__from(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (147) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), 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MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) 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MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (149) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndspos(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndspos(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndspos(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndspos(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndspos(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(rcons(z0, z1))) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) 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c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), 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from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndspos(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndspos(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndspos(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndspos(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndspos(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> 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MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) 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z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndspos(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndspos(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndspos(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndspos(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndspos(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (151) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndspos(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndspos(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndspos(mark(x3), mark(x4))), MARK(nil)) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 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A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) 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c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) 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z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndspos(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndspos(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndspos(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndspos(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) 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cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) 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c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> 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c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndsneg(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndsneg(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndsneg(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndsneg(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndsneg(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(rcons(z0, z1))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndsneg(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndsneg(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndsneg(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndsneg(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndsneg(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndsneg(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndsneg(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndsneg(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndsneg(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndsneg(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (157) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(rnil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__2ndsneg(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(nil), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(nil, a__2ndsneg(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(0, a__2ndsneg(mark(x3), mark(x4))), MARK(0)) ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), 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c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndsneg(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndsneg(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), 2ndsneg(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__2ndsneg(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (159) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), 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z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) 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z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> 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MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (161) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), pi(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(0, a__pi(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__pi(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__pi(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(nil, a__pi(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__pi(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rnil, a__pi(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(rcons(z0, z1))) ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, 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A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> 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c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> 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mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), 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MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) 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MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), pi(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(0, a__pi(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__pi(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__pi(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(nil, a__pi(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__pi(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rnil, a__pi(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 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MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), 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a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), pi(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(0, a__pi(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__pi(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__pi(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(nil, a__pi(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__pi(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rnil, a__pi(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (163) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(rnil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rnil, a__pi(mark(x3))), MARK(rnil)) A__2NDSPOS(s(nil), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(nil, a__pi(mark(x3))), MARK(nil)) A__2NDSPOS(s(0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(0, a__pi(mark(x3))), MARK(0)) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, 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MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), pi(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__pi(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__pi(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__pi(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) 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c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), pi(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__pi(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__pi(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__pi(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> 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A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) 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a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) 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MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (167) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), plus(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(0, a__plus(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(nil, a__plus(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__plus(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__plus(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(rcons(z0, z1))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) 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cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) 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A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), 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a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), plus(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(0, a__plus(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(nil, a__plus(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__plus(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__plus(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) 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c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), plus(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(0, a__plus(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(nil, a__plus(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__plus(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__plus(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (169) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(0, a__plus(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__plus(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(nil), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(nil, a__plus(mark(x3), mark(x4))), MARK(nil)) ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), 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a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), 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MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), plus(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__plus(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) 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cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) 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A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), 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negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), plus(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__plus(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (171) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) 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A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), 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MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), 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c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> 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a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), 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mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), 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MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (173) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), times(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(0, a__times(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(nil, a__times(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__times(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__times(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(rcons(z0, z1))) ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> 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c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), times(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(0, a__times(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(nil, a__times(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__times(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__times(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), 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c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), times(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(0, a__times(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(nil, a__times(mark(x3), mark(x4))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__times(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__times(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (175) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(0, a__times(mark(x3), mark(x4))), MARK(0)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rnil, a__times(mark(x3), mark(x4))), MARK(rnil)) A__2NDSPOS(s(nil), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(nil, a__times(mark(x3), mark(x4))), MARK(nil)) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> 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z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), times(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__times(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> 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rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(mark(x0), times(mark(x3), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__times(mark(x3), mark(x4))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__times(mark(x3), mark(x4))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) 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mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> 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a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> 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c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, 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MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> 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z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), 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MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (179) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), square(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(0, a__square(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__square(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__square(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(nil, a__square(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__square(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rnil, a__square(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__square(mark(x3))), MARK(rcons(z0, z1))) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> 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a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), square(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(0, a__square(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__square(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__square(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(nil, a__square(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__square(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rnil, a__square(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__square(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), 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z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, 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times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), square(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(0, a__square(mark(x3))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__square(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__square(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(nil, a__square(mark(x3))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__square(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rnil, a__square(mark(x3))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__square(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (181) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(nil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(nil, a__square(mark(x3))), MARK(nil)) A__2NDSPOS(s(0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(0, a__square(mark(x3))), MARK(0)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rnil, a__square(mark(x3))), MARK(rnil)) ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), 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z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), square(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__square(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__square(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__square(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__square(mark(x3))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), square(mark(x3))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), a__square(mark(x3))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), a__square(mark(x3))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), a__square(mark(x3))), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), a__square(mark(x3))), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (183) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), 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c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> 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from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (185) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(0, cons(mark(x3), x4)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), cons(mark(x3), x4)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), cons(mark(x3), x4)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(nil, cons(mark(x3), x4)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), cons(mark(x3), x4)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rnil, cons(mark(x3), x4)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(rcons(z0, z1))) ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, 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MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, 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c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(0, cons(mark(x3), x4)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), cons(mark(x3), x4)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), cons(mark(x3), x4)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(nil, cons(mark(x3), x4)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), cons(mark(x3), x4)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rnil, cons(mark(x3), x4)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), 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A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), 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c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) 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c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(0, cons(mark(x3), x4)), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), cons(mark(x3), x4)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), cons(mark(x3), x4)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(nil, cons(mark(x3), x4)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), cons(mark(x3), x4)), MARK(cons(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rnil, cons(mark(x3), x4)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (187) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(rnil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rnil, cons(mark(x3), x4)), MARK(rnil)) A__2NDSPOS(s(nil), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(nil, cons(mark(x3), x4)), MARK(nil)) A__2NDSPOS(s(0), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(0, cons(mark(x3), x4)), MARK(0)) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, 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MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), cons(mark(x3), x4)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), cons(mark(x3), x4)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), cons(mark(x3), x4)), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) 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c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(posrecip(mark(z0)), cons(mark(x3), x4)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(negrecip(mark(z0)), cons(mark(x3), x4)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(cons(mark(z0), z1), cons(mark(x3), x4)), MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(rcons(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (189) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) 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MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, 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z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> 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MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> 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a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), 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A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), 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a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, 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A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> 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MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), 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a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (191) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) by A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, from(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__from(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__2ndspos(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__2ndsneg(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, pi(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__pi(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, plus(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__plus(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, times(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__times(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, square(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), a__square(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(a__from(mark(x0)), 0), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), s(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), posrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), negrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(a__from(mark(x0)), nil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, cons(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), cons(mark(z0), z1)), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(a__from(mark(x0)), rnil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), rcons(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(from(mark(x0)), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), 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mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 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a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) 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c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(a__from(mark(x0)), 0), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), s(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), posrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), negrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(a__from(mark(x0)), nil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(a__from(mark(x0)), rnil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), rcons(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(from(mark(x0)), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> 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MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), 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z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(A__2NDSNEG(a__from(mark(x0)), 0), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), s(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), posrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(A__2NDSNEG(a__from(mark(x0)), negrecip(mark(z0))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(A__2NDSNEG(a__from(mark(x0)), nil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(A__2NDSNEG(a__from(mark(x0)), rnil), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__from(mark(x0)), rcons(mark(z0), mark(z1))), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(from(mark(x0)), mark(x3)), MARK(from(x0))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (193) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> 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a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), 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c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> 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MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 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c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (195) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) by A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, from(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__from(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, pi(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__pi(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, plus(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__plus(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, times(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__times(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, square(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), a__square(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), 0), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), nil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, cons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rnil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndspos(mark(x0), mark(x1)), mark(x4)), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) 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cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) 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A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), 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a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c36(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), 0), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), nil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rnil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndspos(mark(x0), mark(x1)), mark(x4)), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 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s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) 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MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c35(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c35(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c35(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c35(MARK(cons(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c35(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c36(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c36(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c36(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c36(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c36(A__TIMES(mark(x0), 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MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c36(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c36(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c36(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c36(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c36(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c36(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c36(MARK(x1)) MARK(times(nil, x1)) -> c36(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c36(MARK(x1)) MARK(times(rnil, x1)) -> c36(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c36(MARK(x1)) MARK(square(from(z0))) -> c37(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c37(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c37(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c37(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), 0), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), nil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rnil), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndspos(mark(x0), mark(x1)), mark(x4)), MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (197) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 trailing tuple parts ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), 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A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> 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a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), 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a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (199) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) by A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, from(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__from(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 2ndspos(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 2ndsneg(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, pi(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__pi(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, plus(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__plus(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, times(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__times(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, square(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), a__square(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), 0), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), nil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, cons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rnil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndsneg(mark(x0), mark(x1)), mark(x4)), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndsneg(x0, from(z0)))) A__2NDSPOS(s(2ndsneg(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndsneg(x0, pi(z0)))) A__2NDSPOS(s(2ndsneg(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, times(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndsneg(x0, square(z0)))) A__2NDSPOS(s(2ndsneg(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), 0), mark(x4)), MARK(2ndsneg(x0, 0))) A__2NDSPOS(s(2ndsneg(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndsneg(x0, s(z0)))) A__2NDSPOS(s(2ndsneg(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, posrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, negrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), nil), mark(x4)), MARK(2ndsneg(x0, nil))) A__2NDSPOS(s(2ndsneg(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndsneg(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rnil), mark(x4)), MARK(2ndsneg(x0, rnil))) A__2NDSPOS(s(2ndsneg(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndsneg(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(from(z0), x1))) A__2NDSPOS(s(2ndsneg(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(pi(z0), x1))) A__2NDSPOS(s(2ndsneg(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(plus(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(times(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(square(z0), x1))) A__2NDSPOS(s(2ndsneg(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(0, mark(x1)), mark(x4)), MARK(2ndsneg(0, x1))) A__2NDSPOS(s(2ndsneg(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(s(z0), x1))) A__2NDSPOS(s(2ndsneg(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(posrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(negrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(nil, mark(x1)), mark(x4)), MARK(2ndsneg(nil, x1))) A__2NDSPOS(s(2ndsneg(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndsneg(cons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rnil, mark(x1)), mark(x4)), MARK(2ndsneg(rnil, x1))) A__2NDSPOS(s(2ndsneg(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(rcons(z0, z1), x1))) ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> 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a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), 0), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), nil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rnil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndsneg(mark(x0), mark(x1)), mark(x4)), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndsneg(x0, from(z0)))) A__2NDSPOS(s(2ndsneg(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndsneg(x0, pi(z0)))) A__2NDSPOS(s(2ndsneg(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, times(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndsneg(x0, square(z0)))) A__2NDSPOS(s(2ndsneg(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), 0), mark(x4)), MARK(2ndsneg(x0, 0))) A__2NDSPOS(s(2ndsneg(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndsneg(x0, s(z0)))) A__2NDSPOS(s(2ndsneg(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, posrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, negrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), nil), mark(x4)), MARK(2ndsneg(x0, nil))) A__2NDSPOS(s(2ndsneg(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndsneg(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rnil), mark(x4)), MARK(2ndsneg(x0, rnil))) A__2NDSPOS(s(2ndsneg(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndsneg(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(from(z0), x1))) A__2NDSPOS(s(2ndsneg(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(pi(z0), x1))) A__2NDSPOS(s(2ndsneg(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(plus(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(times(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(square(z0), x1))) A__2NDSPOS(s(2ndsneg(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(0, mark(x1)), mark(x4)), MARK(2ndsneg(0, x1))) A__2NDSPOS(s(2ndsneg(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(s(z0), x1))) A__2NDSPOS(s(2ndsneg(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(posrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(negrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(nil, mark(x1)), mark(x4)), MARK(2ndsneg(nil, x1))) A__2NDSPOS(s(2ndsneg(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndsneg(cons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rnil, mark(x1)), mark(x4)), MARK(2ndsneg(rnil, x1))) A__2NDSPOS(s(2ndsneg(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(rcons(z0, z1), x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, 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c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 0))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), 0), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), s(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), posrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), negrecip(mark(z0))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, nil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), nil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rnil), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), mark(x1)), rcons(mark(z0), mark(z1))), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(2ndsneg(mark(x0), mark(x1)), mark(x4)), MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndsneg(x0, from(z0)))) A__2NDSPOS(s(2ndsneg(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndsneg(x0, pi(z0)))) A__2NDSPOS(s(2ndsneg(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, times(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndsneg(x0, square(z0)))) A__2NDSPOS(s(2ndsneg(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), 0), mark(x4)), MARK(2ndsneg(x0, 0))) A__2NDSPOS(s(2ndsneg(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndsneg(x0, s(z0)))) A__2NDSPOS(s(2ndsneg(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, posrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, negrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), nil), mark(x4)), MARK(2ndsneg(x0, nil))) A__2NDSPOS(s(2ndsneg(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndsneg(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rnil), mark(x4)), MARK(2ndsneg(x0, rnil))) A__2NDSPOS(s(2ndsneg(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndsneg(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(from(z0), x1))) A__2NDSPOS(s(2ndsneg(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(pi(z0), x1))) A__2NDSPOS(s(2ndsneg(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(plus(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(times(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(square(z0), x1))) A__2NDSPOS(s(2ndsneg(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(0, mark(x1)), mark(x4)), MARK(2ndsneg(0, x1))) A__2NDSPOS(s(2ndsneg(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(s(z0), x1))) A__2NDSPOS(s(2ndsneg(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(posrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(negrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(nil, mark(x1)), mark(x4)), MARK(2ndsneg(nil, x1))) A__2NDSPOS(s(2ndsneg(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndsneg(cons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rnil, mark(x1)), mark(x4)), MARK(2ndsneg(rnil, x1))) A__2NDSPOS(s(2ndsneg(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(rcons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1 ---------------------------------------- (201) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 trailing tuple parts ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__2ndspos(0, z0) -> rnil a__2ndspos(s(z0), cons(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) a__2ndspos(z0, z1) -> 2ndspos(z0, z1) a__2ndsneg(0, z0) -> rnil a__2ndsneg(s(z0), cons(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) a__pi(z0) -> pi(z0) a__plus(0, z0) -> mark(z0) a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) a__plus(z0, z1) -> plus(z0, z1) a__times(0, z0) -> 0 a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) a__times(z0, z1) -> times(z0, z1) a__square(z0) -> a__times(mark(z0), mark(z0)) a__square(z0) -> square(z0) mark(from(z0)) -> a__from(mark(z0)) mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) mark(pi(z0)) -> a__pi(mark(z0)) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) mark(square(z0)) -> a__square(mark(z0)) mark(0) -> 0 mark(s(z0)) -> s(mark(z0)) mark(posrecip(z0)) -> posrecip(mark(z0)) mark(negrecip(z0)) -> negrecip(mark(z0)) mark(nil) -> nil mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 0))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, nil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rnil))) -> c9(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c9(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c9(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(cons(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c9(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c10(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c10(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c10(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c10(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons(x1, cons(x2, x3))) -> c10(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, s(z0)))) -> c10(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c10(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c10(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c10(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(nil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rnil), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c10(MARK(x3)) A__PI(from(z0)) -> c12(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c12(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c12(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c12(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c12(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c12(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c12(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c12(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c12(MARK(x0)) A__PI(posrecip(z0)) -> c12(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c12(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c12(MARK(cons(z0, z1))) A__PI(rcons(z0, z1)) -> c12(MARK(rcons(z0, z1))) A__PI(from(z0)) -> c13(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c13(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c13(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c13(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c13(A__FROM(0)) A__PI(0) -> c13(A__FROM(0)) A__PI(posrecip(z0)) -> c13(A__FROM(0)) A__PI(negrecip(z0)) -> c13(A__FROM(0)) A__PI(nil) -> c13(A__FROM(0)) A__PI(cons(z0, z1)) -> c13(A__FROM(0)) A__PI(rnil) -> c13(A__FROM(0)) A__PI(rcons(z0, z1)) -> c13(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c16(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c16(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c16(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c16(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c16(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c16(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c16(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c16(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c16(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c16(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c16(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c16(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), rnil) -> c16(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c16(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c16(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c16(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c16(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c16(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c16(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c16(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c16(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c16(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c16(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c16(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c16(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c16(MARK(cons(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c16(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c17(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c17(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c17(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c17(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c17(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c17(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c17(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c17(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c17(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c17(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c17(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c17(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c17(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c17(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c17(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c17(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c17(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c17(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c17(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c30(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c30(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c30(MARK(cons(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c30(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c31(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c31(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c31(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c31(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c31(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c31(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c31(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c31(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c31(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c31(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c31(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c31(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c31(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c31(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c31(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c33(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c33(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c33(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c33(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c33(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c33(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, rnil)) -> c33(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c33(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c33(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c33(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c33(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c33(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), 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MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), 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x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndsneg(x0, from(z0)))) A__2NDSPOS(s(2ndsneg(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndsneg(x0, pi(z0)))) A__2NDSPOS(s(2ndsneg(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, times(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndsneg(x0, square(z0)))) A__2NDSPOS(s(2ndsneg(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), 0), mark(x4)), MARK(2ndsneg(x0, 0))) A__2NDSPOS(s(2ndsneg(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndsneg(x0, s(z0)))) A__2NDSPOS(s(2ndsneg(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, posrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, negrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), nil), mark(x4)), MARK(2ndsneg(x0, nil))) A__2NDSPOS(s(2ndsneg(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndsneg(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rnil), mark(x4)), MARK(2ndsneg(x0, rnil))) A__2NDSPOS(s(2ndsneg(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndsneg(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(from(z0), x1))) A__2NDSPOS(s(2ndsneg(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(pi(z0), x1))) A__2NDSPOS(s(2ndsneg(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(plus(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(times(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(square(z0), x1))) A__2NDSPOS(s(2ndsneg(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(0, mark(x1)), mark(x4)), MARK(2ndsneg(0, x1))) A__2NDSPOS(s(2ndsneg(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(s(z0), x1))) A__2NDSPOS(s(2ndsneg(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(posrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(negrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(nil, mark(x1)), mark(x4)), MARK(2ndsneg(nil, x1))) A__2NDSPOS(s(2ndsneg(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndsneg(cons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rnil, mark(x1)), mark(x4)), MARK(2ndsneg(rnil, x1))) A__2NDSPOS(s(2ndsneg(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndsneg(x0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, cons(z2, z3))) -> c3(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, cons(z2, z3))) -> c8(MARK(z2)) A__PLUS(0, z0) -> c15(MARK(z0)) MARK(from(z0)) -> c27(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c32(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c39(MARK(z0)) MARK(posrecip(z0)) -> c40(MARK(z0)) MARK(negrecip(z0)) -> c41(MARK(z0)) MARK(cons(z0, z1)) -> c43(MARK(z0)) MARK(rcons(z0, z1)) -> c45(MARK(z0)) MARK(rcons(z0, z1)) -> c46(MARK(z1)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 0))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, nil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rnil))) -> c4(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(z0)))) -> c5(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(z0)))) -> c5(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(z0)))) -> c5(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c5(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, x3))) -> c5(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons(x1, cons(x2, s(z0)))) -> c5(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, posrecip(z0)))) -> c5(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, negrecip(z0)))) -> c5(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, rcons(z0, z1)))) -> c5(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(nil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rnil), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, x3))) -> c5(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, cons(x2, from(z0)))) -> c9(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndspos(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, 2ndsneg(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, pi(z0)))) -> c9(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, plus(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, times(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, square(z0)))) -> c9(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(x2, cons(z0, z1)))) -> c9(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, cons(x2, x3))) -> c9(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, 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A__PLUS(s(s(z0)), x1) -> c17(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c17(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c17(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c17(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c17(MARK(x1)) A__PLUS(s(nil), x1) -> c17(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c17(MARK(x1)) A__PLUS(s(rnil), x1) -> c17(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c17(MARK(x1)) A__TIMES(s(x0), x1) -> c20(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c20(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c20(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c20(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c20(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c20(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c20(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c20(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c20(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c20(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c20(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c20(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c20(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c20(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c20(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c20(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c20(MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c20(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c21(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(from(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(from(z0))) A__TIMES(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__TIMES(s(pi(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(pi(z0))) A__TIMES(s(plus(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1))) A__TIMES(s(times(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(times(z0, z1))) A__TIMES(s(square(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(square(z0))) A__TIMES(s(s(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(s(z0))) A__TIMES(s(posrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(posrecip(z0))) A__TIMES(s(negrecip(z0)), x1) -> c21(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(negrecip(z0))) A__TIMES(s(cons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c21(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(rcons(z0, z1))) A__TIMES(s(x0), from(z0)) -> c21(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(x0)) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(x0)) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(x0)) A__TIMES(s(x0), pi(z0)) -> c21(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(x0)) A__TIMES(s(x0), plus(z0, z1)) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(x0)) A__TIMES(s(x0), times(z0, z1)) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(x0)) A__TIMES(s(x0), square(z0)) -> c21(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(x0)) A__TIMES(s(x0), 0) -> c21(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c21(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(x0)) A__TIMES(s(0), x1) -> c21(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c21(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c21(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c21(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c21(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c21(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c21(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c21(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c22(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(mark(2ndspos(z0, z1)), a__times(mark(x0), a__2ndspos(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(mark(2ndsneg(z0, z1)), a__times(mark(x0), a__2ndsneg(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(mark(plus(z0, z1)), a__times(mark(x0), a__plus(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(mark(times(z0, z1)), a__times(mark(x0), a__times(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__PLUS(mark(rcons(z0, z1)), a__times(mark(x0), rcons(mark(z0), mark(z1)))), A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__TIMES(s(from(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), A__TIMES(mark(from(z0)), mark(x1)), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndspos(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(2ndsneg(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), A__TIMES(mark(pi(z0)), mark(x1)), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(plus(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(times(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), A__TIMES(mark(square(z0)), mark(x1)), MARK(x1)) A__TIMES(s(0), x1) -> c22(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), A__TIMES(mark(s(z0)), mark(x1)), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), A__TIMES(mark(posrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c22(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), A__TIMES(mark(negrecip(z0)), mark(x1)), MARK(x1)) A__TIMES(s(nil), x1) -> c22(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), A__TIMES(mark(cons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c22(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c22(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), A__TIMES(mark(rcons(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c22(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), A__TIMES(mark(x0), mark(from(z0))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c22(A__PLUS(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndspos(z0, z1)))), A__TIMES(mark(x0), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__TIMES(s(x0), 2ndsneg(z0, z1)) -> c22(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x0), mark(2ndsneg(z0, z1)))), A__TIMES(mark(x0), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__TIMES(s(x0), pi(z0)) -> c22(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), A__TIMES(mark(x0), mark(pi(z0))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c22(A__PLUS(a__plus(mark(z0), mark(z1)), a__times(mark(x0), mark(plus(z0, z1)))), A__TIMES(mark(x0), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__TIMES(s(x0), times(z0, z1)) -> c22(A__PLUS(a__times(mark(z0), mark(z1)), a__times(mark(x0), mark(times(z0, z1)))), A__TIMES(mark(x0), mark(times(z0, z1))), MARK(times(z0, z1))) A__TIMES(s(x0), square(z0)) -> c22(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), A__TIMES(mark(x0), mark(square(z0))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c22(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), A__TIMES(mark(x0), mark(s(z0))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c22(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c22(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c22(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c22(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c22(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c22(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c22(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), rnil) -> c22(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c22(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c24(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c24(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c24(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c24(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c24(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c24(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c24(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c24(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c24(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c24(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c24(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c24(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c24(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c24(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c25(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c25(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c25(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c25(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c25(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c25(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c25(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c25(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c25(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c25(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c25(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c25(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c25(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c25(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c25(MARK(cons(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c25(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c28(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c28(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c28(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c28(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c28(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c28(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c28(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c28(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c28(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c28(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c28(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c28(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c28(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c28(MARK(x0)) MARK(2ndspos(x0, nil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c28(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c28(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c28(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c28(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c28(MARK(cons(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c28(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c29(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c29(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c29(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c29(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c29(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c29(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c29(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c29(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c29(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c29(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c29(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c29(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c29(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c29(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c29(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c29(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c29(MARK(x1)) MARK(2ndspos(nil, x1)) -> c29(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c29(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c29(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c30(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c30(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c30(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c30(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c30(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c30(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c30(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c30(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c30(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c30(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c30(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c30(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c30(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c30(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c30(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c30(MARK(x0)) 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MARK(2ndsneg(x0, rcons(z0, z1))) -> c31(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c31(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c31(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c31(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c31(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c31(MARK(x1)) MARK(plus(x0, from(z0))) -> c33(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c33(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c33(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c33(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c33(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c33(A__PLUS(mark(x0), a__square(mark(z0))), 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MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c33(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c33(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c33(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c33(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c33(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c33(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c33(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c33(MARK(cons(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c33(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c34(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c34(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c34(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c34(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c34(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c34(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c34(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c34(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c34(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c34(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c34(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c34(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c34(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c34(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c34(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c34(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c34(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c34(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c34(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c34(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c34(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c34(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c34(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c34(MARK(x1)) MARK(plus(nil, x1)) -> c34(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c34(MARK(x1)) MARK(plus(rnil, x1)) -> c34(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c34(MARK(x1)) MARK(times(x0, from(z0))) -> c35(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c35(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c35(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c35(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c35(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c35(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c35(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c35(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c35(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c35(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c35(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c35(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, rnil)) -> c35(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c35(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c35(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c35(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c35(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c35(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c35(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c35(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c35(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> 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MARK(times(x0, s(z0))) -> c36(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c36(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c36(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c36(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c36(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c36(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c36(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c36(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c36(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c36(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c36(A__TIMES(a__times(mark(z0), 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MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c37(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c37(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c37(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c37(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c37(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c37(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c37(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(rcons(z0, z1))) -> c37(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c37(A__SQUARE(0)) MARK(square(nil)) -> c37(A__SQUARE(nil)) MARK(square(rnil)) -> c37(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(0)))) -> c4(A__2NDSNEG(mark(x0), a__from(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__from(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(nil)))) -> c4(A__2NDSNEG(mark(x0), a__from(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__from(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__from(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__from(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__from(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__from(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__from(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__from(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__from(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, from(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__from(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, from(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, from(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndspos(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndspos(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndspos(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__2ndsneg(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__2ndsneg(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, 2ndsneg(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(mark(x0), a__2ndspos(mark(mark(x3)), a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(0)))) -> c4(A__2NDSNEG(mark(x0), a__pi(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__pi(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(nil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__pi(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__pi(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__pi(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__pi(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__pi(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__pi(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__pi(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, pi(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__plus(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__plus(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__plus(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__plus(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, plus(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, 0)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, nil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rnil)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(x3), rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__from(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__pi(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__plus(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__times(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(a__square(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(0, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(0, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(s(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(posrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(negrecip(mark(z0)), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(nil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(cons(mark(z0), z1), mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rnil, mark(x4))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), a__times(rcons(mark(z0), mark(z1)), mark(x4))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__times(mark(x3), mark(x4))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__times(mark(x3), mark(x4))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__times(mark(x3), mark(x4))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__times(mark(x3), mark(x4))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), a__times(mark(x3), mark(x4))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, times(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(mark(x0), a__times(mark(mark(x3)), mark(mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(from(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndspos(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(2ndsneg(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(pi(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(plus(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(times(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(square(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(0)))) -> c4(A__2NDSNEG(mark(x0), a__square(0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(s(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(posrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(negrecip(z0))))) -> c4(A__2NDSNEG(mark(x0), a__square(negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(nil)))) -> c4(A__2NDSNEG(mark(x0), a__square(nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(cons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rnil)))) -> c4(A__2NDSNEG(mark(x0), a__square(rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(rcons(z0, z1))))) -> c4(A__2NDSNEG(mark(x0), a__square(rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__from(mark(z0)), a__square(mark(x3))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), a__square(mark(x3))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), a__square(mark(x3))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), a__square(mark(x3))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), a__square(mark(x3))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(a__square(mark(z0)), a__square(mark(x3))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, square(x3)))) -> c4(A__2NDSNEG(s(mark(z0)), a__square(mark(x3))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, cons(x2, square(x3)))) -> c4(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, square(x3)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(from(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__from(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndspos(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndspos(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(2ndsneg(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__2ndsneg(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(pi(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__pi(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(plus(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__plus(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(times(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__times(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(square(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(a__square(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(0, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(0, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(s(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(s(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(posrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(posrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(negrecip(z0), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(negrecip(mark(z0)), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(nil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(nil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(cons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(cons(mark(z0), z1), x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rnil, x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rnil, x4)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(x2, cons(rcons(z0, z1), x4)))) -> c4(A__2NDSNEG(mark(x0), cons(rcons(mark(z0), mark(z1)), x4)), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__from(mark(z0)), cons(mark(x3), x4)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__pi(mark(z0)), cons(mark(x3), x4)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__plus(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__times(mark(z0), mark(z1)), cons(mark(x3), x4)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(a__square(mark(z0)), cons(mark(x3), x4)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(A__2NDSNEG(s(mark(z0)), cons(mark(x3), x4)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(cons(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, cons(x2, cons(x3, x4)))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(from(from(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__from(mark(z0))), mark(x3)), MARK(from(from(z0)))) A__2NDSPOS(s(from(2ndspos(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndspos(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndspos(z0, z1)))) A__2NDSPOS(s(from(2ndsneg(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__2ndsneg(mark(z0), mark(z1))), mark(x3)), MARK(from(2ndsneg(z0, z1)))) A__2NDSPOS(s(from(pi(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__pi(mark(z0))), mark(x3)), MARK(from(pi(z0)))) A__2NDSPOS(s(from(plus(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__plus(mark(z0), mark(z1))), mark(x3)), MARK(from(plus(z0, z1)))) A__2NDSPOS(s(from(times(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__times(mark(z0), mark(z1))), mark(x3)), MARK(from(times(z0, z1)))) A__2NDSPOS(s(from(square(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(a__square(mark(z0))), mark(x3)), MARK(from(square(z0)))) A__2NDSPOS(s(from(0)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(0), mark(x3)), MARK(from(0))) A__2NDSPOS(s(from(s(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(s(mark(z0))), mark(x3)), MARK(from(s(z0)))) A__2NDSPOS(s(from(posrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(posrecip(mark(z0))), mark(x3)), MARK(from(posrecip(z0)))) A__2NDSPOS(s(from(negrecip(z0))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(negrecip(mark(z0))), mark(x3)), MARK(from(negrecip(z0)))) A__2NDSPOS(s(from(nil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(nil), mark(x3)), MARK(from(nil))) A__2NDSPOS(s(from(cons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(cons(mark(z0), z1)), mark(x3)), MARK(from(cons(z0, z1)))) A__2NDSPOS(s(from(rnil)), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rnil), mark(x3)), MARK(from(rnil))) A__2NDSPOS(s(from(rcons(z0, z1))), cons(x1, cons(x2, x3))) -> c4(A__2NDSNEG(a__from(rcons(mark(z0), mark(z1))), mark(x3)), MARK(from(rcons(z0, z1)))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, x3))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, 0))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, s(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, posrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, negrecip(z0)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, nil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rnil))) -> c4(MARK(from(x0))) A__2NDSPOS(s(from(x0)), cons(x1, cons(x2, rcons(z0, z1)))) -> c4(MARK(from(x0))) A__2NDSPOS(s(2ndspos(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndspos(x0, from(z0)))) A__2NDSPOS(s(2ndspos(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndspos(x0, pi(z0)))) A__2NDSPOS(s(2ndspos(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, times(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndspos(x0, square(z0)))) A__2NDSPOS(s(2ndspos(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), 0), mark(x4)), MARK(2ndspos(x0, 0))) A__2NDSPOS(s(2ndspos(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndspos(x0, s(z0)))) A__2NDSPOS(s(2ndspos(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, posrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndspos(x0, negrecip(z0)))) A__2NDSPOS(s(2ndspos(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), nil), mark(x4)), MARK(2ndspos(x0, nil))) A__2NDSPOS(s(2ndspos(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndspos(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndspos(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rnil), mark(x4)), MARK(2ndspos(x0, rnil))) A__2NDSPOS(s(2ndspos(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndspos(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndspos(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(from(z0), x1))) A__2NDSPOS(s(2ndspos(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndspos(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndspos(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(pi(z0), x1))) A__2NDSPOS(s(2ndspos(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(plus(z0, z1), x1))) A__2NDSPOS(s(2ndspos(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(times(z0, z1), x1))) A__2NDSPOS(s(2ndspos(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(square(z0), x1))) A__2NDSPOS(s(2ndspos(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(0, mark(x1)), mark(x4)), MARK(2ndspos(0, x1))) A__2NDSPOS(s(2ndspos(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(s(z0), x1))) A__2NDSPOS(s(2ndspos(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(posrecip(z0), x1))) A__2NDSPOS(s(2ndspos(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndspos(negrecip(z0), x1))) A__2NDSPOS(s(2ndspos(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(nil, mark(x1)), mark(x4)), MARK(2ndspos(nil, x1))) A__2NDSPOS(s(2ndspos(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndspos(cons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rnil, mark(x1)), mark(x4)), MARK(2ndspos(rnil, x1))) A__2NDSPOS(s(2ndspos(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndspos(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndspos(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndspos(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndspos(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, from(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__from(mark(z0))), mark(x4)), MARK(2ndsneg(x0, from(z0)))) A__2NDSPOS(s(2ndsneg(x0, 2ndspos(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndspos(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndspos(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, 2ndsneg(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__2ndsneg(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, 2ndsneg(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, pi(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__pi(mark(z0))), mark(x4)), MARK(2ndsneg(x0, pi(z0)))) A__2NDSPOS(s(2ndsneg(x0, plus(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__plus(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, plus(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, times(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__times(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, times(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, square(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), a__square(mark(z0))), mark(x4)), MARK(2ndsneg(x0, square(z0)))) A__2NDSPOS(s(2ndsneg(x0, 0)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), 0), mark(x4)), MARK(2ndsneg(x0, 0))) A__2NDSPOS(s(2ndsneg(x0, s(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), s(mark(z0))), mark(x4)), MARK(2ndsneg(x0, s(z0)))) A__2NDSPOS(s(2ndsneg(x0, posrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), posrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, posrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, negrecip(z0))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), negrecip(mark(z0))), mark(x4)), MARK(2ndsneg(x0, negrecip(z0)))) A__2NDSPOS(s(2ndsneg(x0, nil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), nil), mark(x4)), MARK(2ndsneg(x0, nil))) A__2NDSPOS(s(2ndsneg(x0, cons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), cons(mark(z0), z1)), mark(x4)), MARK(2ndsneg(x0, cons(z0, z1)))) A__2NDSPOS(s(2ndsneg(x0, rnil)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rnil), mark(x4)), MARK(2ndsneg(x0, rnil))) A__2NDSPOS(s(2ndsneg(x0, rcons(z0, z1))), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(mark(x0), rcons(mark(z0), mark(z1))), mark(x4)), MARK(2ndsneg(x0, rcons(z0, z1)))) A__2NDSPOS(s(2ndsneg(from(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__from(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(from(z0), x1))) A__2NDSPOS(s(2ndsneg(2ndspos(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndspos(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(2ndsneg(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(2ndsneg(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(pi(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__pi(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(pi(z0), x1))) A__2NDSPOS(s(2ndsneg(plus(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(plus(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(times(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(times(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(square(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(a__square(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(square(z0), x1))) A__2NDSPOS(s(2ndsneg(0, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(0, mark(x1)), mark(x4)), MARK(2ndsneg(0, x1))) A__2NDSPOS(s(2ndsneg(s(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(s(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(s(z0), x1))) A__2NDSPOS(s(2ndsneg(posrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(posrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(posrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(negrecip(z0), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(negrecip(mark(z0)), mark(x1)), mark(x4)), MARK(2ndsneg(negrecip(z0), x1))) A__2NDSPOS(s(2ndsneg(nil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(nil, mark(x1)), mark(x4)), MARK(2ndsneg(nil, x1))) A__2NDSPOS(s(2ndsneg(cons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(cons(mark(z0), z1), mark(x1)), mark(x4)), MARK(2ndsneg(cons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(rnil, x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rnil, mark(x1)), mark(x4)), MARK(2ndsneg(rnil, x1))) A__2NDSPOS(s(2ndsneg(rcons(z0, z1), x1)), cons(x2, cons(x3, x4))) -> c4(A__2NDSNEG(a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x1)), mark(x4)), MARK(2ndsneg(rcons(z0, z1), x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, 0))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, s(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, posrecip(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, negrecip(z0)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, nil))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rnil))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, rcons(z0, z1)))) -> c4(MARK(2ndsneg(x0, x1))) A__2NDSPOS(s(2ndsneg(x0, x1)), cons(x2, cons(x3, x4))) -> c4(MARK(2ndsneg(x0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__2ndspos_2, a__2ndsneg_2, a__pi_1, a__plus_2, a__times_2, a__square_1, mark_1 Defined Pair Symbols: A__FROM_1, A__2NDSPOS_2, A__2NDSNEG_2, A__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c3_1, c8_1, c15_1, c27_2, c32_2, c39_1, c40_1, c41_1, c43_1, c45_1, c46_1, c4_2, c4_1, c5_2, c5_1, c9_2, c9_1, c10_2, c10_1, c12_2, c12_1, c13_2, c13_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_3, c21_2, c22_3, c22_2, c22_1, c24_2, c24_1, c25_2, c25_1, c28_2, c28_1, c29_2, c29_1, c30_2, c30_1, c31_2, c31_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c36_2, c36_1, c37_2, c37_1